openvino/docs/ops/activation/GELU_2.md

GELU

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Versioned name: Gelu-2

Category: Activation function

Short description: Gaussian error linear unit element-wise activation function.

Detailed description

Gelu operation is introduced in this article <https://arxiv.org/abs/1606.08415>__. It performs element-wise activation function on a given input tensor, based on the following mathematical formula:

.. math::

Gelu(x) = x\cdot\Phi(x) = x\cdot\frac{1}{2}\cdot\left[1 + erf\frac{x}{\sqrt{2}}\right]

where Φ(x) is the Cumulative Distribution Function for Gaussian Distribution.

Additionally, the Gelu function may be approximated as follows:

.. math::

Gelu(x) \approx 0.5\cdot x\cdot \left(1 + \tanh\left[\sqrt{2/\pi} \cdot (x + 0.044715 \cdot x^3)\right]\right)

Attributes: Gelu operation has no attributes.

Inputs:

• 1: A tensor of type T and arbitrary shape. Required.

Outputs:

• 1: The result of element-wise Gelu function applied to the input tensor. A tensor of type T and the same shape as input tensor.

Types

• T: arbitrary supported floating-point type.

Example

.. code-block:: cpp

<layer ... type="Gelu"> 1 128 1 128

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